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Finding the Fourth Proportional to 42,675.84, 64,014.93 and 11,511

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Solution

The fourth proportional to 42,675.84, 64,014.93 and 11,511 is: 17,266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,675.84 : 64,014.93 = 11,511 : x
  2. Step 2: Convert to fraction form
    42,675.84/64,014.93 = 11,511/x
  3. Step 3: Cross multiply
    42,675.84x = 64,014.93 × 11,511
  4. Step 4: Simplify right side
    42,675.84x = 736,875,859.23
  5. Step 5: Solve for x
    x = 736,875,859.23/42,675.84
  6. Step 6: Final answer
    x = 17,266.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.